Question
Question Find an equivalent ratio in simplest terms: \[ 4: 42 \] Answer Attempt 1 out of 3 \( \square: \square \)
Ask by Cervantes Greene. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified equivalent ratio is 2:21.
Solution
To simplify the ratio 4:42, first determine the greatest common divisor (GCD) of 4 and 42. The factors of 4 are 1, 2, 4, and the factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. The largest common factor is 2.
Divide both terms of the ratio by 2:
4 ÷ 2 = 2
42 ÷ 2 = 21
Thus, the simplified equivalent ratio is 2:21.
Answer Attempt 1 of 3: 2:21
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Simplify this solution The Deep Dive
To simplify the ratio \(4:42\), you can divide both terms by their greatest common divisor (GCD), which is 2. So, \(4 ÷ 2 = 2\) and \(42 ÷ 2 = 21\). Thus, the equivalent ratio in simplest terms is \(2:21\). Ratios are everywhere in real life! For example, when cooking, a recipe might call for a ratio of ingredients, like 2 parts flour to 1 part sugar. Understanding ratios helps recreate your favorite dishes perfectly—or even modify them to suit your taste!
